Practice Methods of Solving Quadratic Equations - 2 | 2. Quadratic Equations | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Factor the equation x² + 3x + 2 = 0.

💡 Hint: Look for factors of 2 that add up to 3.

Question 2

Easy

What is the discriminant of the equation x² - 4x + 4 = 0?

💡 Hint: Use the formula D = b² - 4ac.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

Which method involves expressing a quadratic equation as a product of factors?

  • Completing the Square
  • Factorization
  • Quadratic Formula

💡 Hint: Think of breaking down the quadratic.

Question 2

True or False: The quadratic formula can only be used in certain cases of quadratic equations.

  • True
  • False

💡 Hint: Remember, it's universal!

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Challenge Problems

Push your limits with challenges.

Question 1

Find the dimensions of a rectangular area with an area of 72 m² if its length is 8 m more than its width. Formulate and solve a quadratic equation.

💡 Hint: First, set the equation up by expressing length in terms of width.

Question 2

A projectile is thrown upward, modeled by the equation h(t) = -5t² + 20t + 5, where t is time in seconds. Find how long it takes for the projectile to hit the ground.

💡 Hint: After setting h(t) = 0, apply the quadratic formula.

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